Quasi-constants in general algebras
Kazimierz Głazek, Anzelm Iwanik (1974)
Colloquium Mathematicum
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Kazimierz Głazek, Anzelm Iwanik (1974)
Colloquium Mathematicum
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Camillo Trapani (2004)
Studia Mathematica
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J. Słomiński
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CONTENTSIntroduction.................................................................................................................... 5§ 1. Fundamental concepts for quasi-algebras..................................................... 5§ 2. Peano-algebras.................................................................................................... 13§ 3. Peano-algebras and free quasi-algebras....................................................... 25§ 4. Theorems concerning free...
Giorgia Bellomonte, Camillo Trapani (2013)
Studia Mathematica
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Giorgia Bellomonte, Camillo Trapani (2011)
Studia Mathematica
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A generalized procedure for the construction of the inductive limit of a family of C*-algebras is proposed. The outcome is no more a C*-algebra but, under certain assumptions, a locally convex quasi *-algebra, named a C*-inductive quasi *-algebra. The properties of positive functionals and representations of C*-inductive quasi *-algebras are investigated, in close connection with the corresponding properties of positive functionals and representations of the C*-algebras that generate...
J. Achari (1978)
Matematički Vesnik
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J. Achari (1977)
Publications de l'Institut Mathématique [Elektronische Ressource]
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J. Słomiński
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CONTENTSINTRODUCTION...................................................................................................................................................................... 31. TERMS NOTATION AND LEMMAS.................................................................................................................................. 4A. Quasi-algebras and algebras..........................................................................................................................................................................
König, Steffen, Xi, Changchang (1999)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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Deng, Bangming, Xi, Changchang (1995)
Beiträge zur Algebra und Geometrie
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Vlastimil Dlab, Claus Michael Ringel (1990)
Banach Center Publications
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S.D. Presic (1979)
Publications de l'Institut Mathématique [Elektronische Ressource]
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Camillo Trapani (2003)
Studia Mathematica
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Different types of seminorms on a quasi *-algebra (𝔄,𝔄₀) are constructed from a suitable family ℱ of sesquilinear forms on 𝔄. Two particular classes, extended C*-seminorms and CQ*-seminorms, are studied in some detail. A necessary and sufficient condition for the admissibility of a sesquilinear form in terms of extended C*-seminorms on (𝔄,𝔄₀) is given.
B. Wojdyło (1970)
Colloquium Mathematicae
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B. K. Ray (1978)
Matematički Vesnik
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Heydar Radjavi, Peter Šemrl (2008)
Studia Mathematica
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Let X and Y be Banach spaces and ℬ(X) and ℬ(Y) the algebras of all bounded linear operators on X and Y, respectively. We say that A,B ∈ ℬ(X) quasi-commute if there exists a nonzero scalar ω such that AB = ωBA. We characterize bijective linear maps ϕ : ℬ(X) → ℬ(Y) preserving quasi-commutativity. In fact, such a characterization can be proved for much more general algebras. In the finite-dimensional case the same result can be obtained without the bijectivity assumption.